Abstract

This paper presents a new, rapid, flexible approach for turbine blade section design combining algorithmic and inverse techniques to enable automatic generation of blade sections guaranteed to conform to multidisciplinary requirements, with the aim of accelerating turbomachinery design iterations. The approach links a base algorithm to parametrize and generate blade section geometry conforming to structural and manufacturability constraints such as section area, trailing edge radius, and exit wedge angle with a 2D cfd solver to calculate surface isentropic Mach number profile for aerodynamic performance evaluation. To achieve blade sections with smooth surface and lenticular Mach number profile concave up on the pressure side and concave down on the suction side, the base algorithm is tuned by a surrogate inverse model trained by machine learning from pre-generated tuning data obtained by case-by-case shape optimization for a range of design conditions. A weighted objective function is applied to quantify both geometric and aerodynamic quality of blade sections for the optimization. Shape optimization improves output section quality by 54–87% compared to the untuned algorithm. Aerodynamically, suction-side flow separation is eliminated in the optimized sections, giving 70% less pressure loss compared to the untuned algorithm for the best cases. Across all conditions spanning the examined design space, the surrogate model successfully captures most of this improvement, yielding blade sections of similar quality to explicit optimization sufficient to meet the geometric and aerodynamic requirements for design. Furthermore, section quality is preserved even if imposed structural and manufacturability constraints are perturbed within typical margins, guaranteeing blade sections that are always viable for practical use. Blade sections from the surrogate-tuned algorithm are output within minutes, eliminating the time-intensiveness of existing manual or case-by-case design approaches.

References

1.
Denton
,
J. D.
,
2017
, “
Multall—An Open Source, Computational Fluid Dynamics Based Turbomachinery Design System
,”
ASME J. Turbomach.
,
139
(
12
), p.
121001
.
2.
Alexeev
,
R. A.
,
Tishchenko
,
V. A.
,
Gribin
,
V. G.
, and
Gavrilov
,
I. Y.
,
2017
, “
Turbine Blade Profile Design Method Based on Bezier Curves
,”
J. Phys. Conf. Ser.
,
891
, p.
012254
.
3.
Gollapalli
,
U. C.
, and
Chhavi
,
C.
,
2018
, “
Design and Optimization of a Stator Turbine Blade Profile Using Control Parameters
,”
2018 IEEE Aerospace Conference
,
Big Sky, MT
,
Mar. 3–10
, pp.
1
12
.
4.
Brunn
,
O.
,
Harbecke
,
U.
,
Mokulys
,
T.
,
Salit
,
V.
,
Schwarz
,
M. A.
, and
Dornbusch
,
F.
,
2020
, “
Improved LP-Stage Design for Industrial Steam Turbines
,”
Proceedings of the ASME Turbo Expo 2020: Turbomachinery Technical Conference and Exposition
,
American Society of Mechanical Engineers
, Vol.
9
, p.
V009T23A006
.
5.
Buske
,
C.
,
Krumme
,
A.
,
Schmidt
,
T.
,
Dresbach
,
C.
,
Zur
,
S.
, and
Tiefers
,
R.
,
2016
, “
Distributed Multidisciplinary Optimization of a Turbine Blade Regarding Performance, Reliability and Castability
,”
Proceedings of the ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition
,
American Society of Mechanical Engineers
, Vol.
2C
, p.
V02CT45A002
.
6.
Talya
,
S. S.
,
Rajadas
,
J. N.
, and
Chattopadhyay
,
A.
,
2000
, “
Multidisciplinary Optimization for Gas Turbine Airfoil Design
,”
Inverse Probl. Eng.
,
8
(
3
), pp.
283
308
.
7.
Li
,
L.
,
Wan
,
H.
,
Gao
,
W.
,
Tong
,
F.
, and
Li
,
H.
,
2019
, “
Reliability Based Multidisciplinary Design Optimization of Cooling Turbine Blade Considering Uncertainty Data Statistics
,”
Struct. Multidiscipl. Optim.
,
59
(
2
), pp.
659
673
.
8.
Qi
,
X.
, and
Shen
,
X.
,
2015
, “
Multidisciplinary Design Optimization of Turbine Disks Based on ANSYS Workbench Platforms
,”
Proc. Eng.
,
99
, pp.
1275
1283
.
9.
Kollar
,
L. E.
, and
Mishra
,
R.
,
2019
, “
Inverse Design of Wind Turbine Blade Sections for Operation Under Icing Conditions
,”
Energy Convers. Manage.
,
180
, pp.
844
858
.
10.
Clark
,
C. J.
,
2019
, “
A Step Towards an Intelligent Aerodynamic Blade Design Process
,”
Proceedings of the ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition
,
American Society of Mechanical Engineers
, Vol.
2C
, p.
V02CT41A033
.
11.
Du
,
Q.
,
Li
,
Y.
,
Yang
,
L.
,
Liu
,
T.
,
Zhang
,
D.
, and
Xie
,
Y.
,
2022
, “
Performance Prediction and Design Optimization of Turbine Blade Profile With Deep Learning Method
,”
Energy
,
254
(
Pt. A
), p.
124351
.
12.
Marx
,
J.
,
Gantner
,
S.
,
Städing
,
J.
, and
Friedrichs
,
J.
,
2018
, “
A Machine Learning Based Approach of Performance Estimation for High-Pressure Compressor Airfoils
,”
Proceedings of the ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition
,
American Society of Mechanical Engineers
, Vol.
2D
, p.
V02DT46A004
.
13.
Youngren
,
H.
, and
Drela
,
M.
,
1991
, “
Viscous/Inviscid Method for Preliminary Design of Transonic Cascades
,”
27th Joint Propulsion Conference
,
Sacramento, CA
,
June 24–26
, p.
2364
.
14.
Sheffield
M. L.
,
2021
, “GPy: A Gaussian Process (GP) Framework in Python,” http://sheffieldml.github.io/GPy/
15.
Loh
,
W.
,
1996
, “
On Latin Hypercube Sampling
,”
Ann. Stat.
,
24
(
5
), pp.
2058
2080
.
16.
Oliveira
,
A. C. M.
, and
Lorena
,
L. A. N.
,
2004
, “Detecting Promising Areas by Evolutionary Clustering Search,”
Advances in Artificial Intelligence–SBIA 2004. SBIA 2004. Lecture Notes in Computer Science
, Vol.
3171
,
A. L. C.
Bazzan
, and
S.
Labidi
, eds.,
Springer
,
Berlin, Heidelberg
.
You do not currently have access to this content.